Smart Math guide · Geometry Smarts

Find a Midpoint by Averaging Coordinates

A midpoint lies halfway in both horizontal and vertical directions.

All levelsWorked example includedSelf-check included
← Smart MathRelated calculators
The method

How to use it

  1. Average the x-coordinates.
  2. Average the y-coordinates.
  3. Write the ordered pair.
Worked example

See it in action

Between (2,8) and (10,4): midpoint=(6,6).

Check your thinking

How to verify it

Distances from the midpoint to the endpoints are equal.

Keep learning

More Geometry Smarts guides

Geometry Smarts

Find Area by Decomposing Shapes

Break an irregular figure into rectangles, triangles, circles, or other familiar pieces.

Read guide →
Geometry Smarts

Use the Pythagorean Theorem

For a right triangle, the square of the hypotenuse equals the sum of the squares of the legs.

Read guide →
Geometry Smarts

Use Similar Triangles for Indirect Measurement

Similar triangles have equal corresponding angles and proportional corresponding sides.

Read guide →
Geometry Smarts

Estimate Circles Before Using π

Use π≈3.14 or π≈22/7 when suitable, but first judge whether radius or diameter is being used.

Read guide →
CalculatorWiser

Calculators, math tools, reference tables, games, guides and a growing math library.

All calculators · Math Blog
Latest from the Math BlogWho invented mathematics?Euclid: life, ideas, and mathematical legacyWhy zero changed mathematicsMaya mathematics and calendars
Policies & trustPrivacy PolicyCookie PolicyAdvertising & Affiliate DisclosureTerms of UseDisclaimerEditorial PolicyAccessibilityPrivacy Choices